Pith Number

pith:D7DOJLGP

pith:2026:D7DOJLGPTAHUQTTIJ4A4UJQSAC

not attested not anchored not stored refs pending

The Hamilton-Jacobi Theory of Deep Learning

Christopher P. Monterola, Erika Fille T. Legara, Jose Marie Antonio Mi\~noza

arxiv:2605.28983 v1 · 2026-05-27 · cs.LG · cs.AI · math.DS · math.RT · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7DOJLGPTAHUQTTIJ4A4UJQSAC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-29T01:04:42.389489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc6e4accf980f484e684f01ca2612008934f3c2db7db8e45c9586fe33530653

Aliases

arxiv: 2605.28983 · arxiv_version: 2605.28983v1 · doi: 10.48550/arxiv.2605.28983 · pith_short_12: D7DOJLGPTAHU · pith_short_16: D7DOJLGPTAHUQTTI · pith_short_8: D7DOJLGP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D7DOJLGPTAHUQTTIJ4A4UJQSAC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1fc6e4accf980f484e684f01ca2612008934f3c2db7db8e45c9586fe33530653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7be0c8198cf9f7926dc1ec1f4736a1b1f0c667e90fb1bc15aa2e588564c784",
    "cross_cats_sorted": [
      "cs.AI",
      "math.DS",
      "math.RT",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-27T18:38:23Z",
    "title_canon_sha256": "fc31415dd6dd8a7921ce034dd2dee536fec381177b3169726cd3298c8a965a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28983",
    "kind": "arxiv",
    "version": 1
  }
}